Finding the Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 8?

Back

4

Front

What is the GCF of the polynomial 24x^9 - 36x^6 + 60x^3?

Back

6x^3

Front

Find the GCF of the trinomial 9xz^3 + 18yz^2 + 24z^2.

Back

3z^2

Front

Determine the GCF of 36ab^2 - 48a^2b.

Back

12ab

Front

What is the GCF of 2x^2 - 4x + 8?

Back

2

Front

What is the GCF of the numbers 18, 24, and 30?

Back

6

Front

How can you use prime factorization to find the GCF?

Back

Factor each number into primes and multiply the lowest powers of all common prime factors.

Front

What is the GCF of 15x^2y and 25xy^2?

Back

5xy.